ИСТИНА

Equivalent transformations or mutations in models of statistical mechanics on weighted graphs are one of the most effective methods of research. The star-triangle transformations are known for the Ising model, the electric network model, and the percolation model. Another class of transformations is defined by the form of serial or parallel connection. In this note, we consider the mutations of the graph defining the Hopfield model. The main application question is to find equivalent networks that exhibit the same asymptotic behavior. This question can be of significant importance in optimizing the network topology. From a philosophical point of view, this question is close to the study of the post-priori equivalence of the functioning of networks with different knowledge.